PV Diagram Pressure temperature volume increasing what is net effect on output?

Question

I am not properly understanding this question. please help!

Most of the process on PV diagram have this kind of curvature

But in the question above, its bit weird.

My thoughts:

Pressure, temperature and volume all increasing.

So It looks like combustion process than expansion.

I am unable to figure out answer for it. They all seems correct.

There is definitely net work (-ve may be but there is net work)

Not sure about Net heat output.

As expanding density might decrease but pressure is increasing so it might increase.

And enthalpy is more likely to increase as all the quantities are increasing.

Please clarify the above thoughts and explain the answer.

I searched a lot all over the internet. Did not found any process look similar to this!

Answer 1

The process is general in a closed system. The gas is ideal. Adding isotherms on the $p,V$ axes will show whether $T$ increases / decreases as $p$ and $V$ increase. Work is $-\int p_{ext}\ dV$. An assumption of reversibility or constant external pressure will be needed to determine whether 1) is / is not true. The internal energy of an ideal gas depends only on the temperature of the ideal gas. The use of $\Delta U = C_V \Delta T = q + w$ will tell whether 2) is / is not true. The system is closed, so the amount (moles) of gas is constant. Volume changes and density is the inverse of molar volume. The will address whether 3) is / is not true. The enthalpy of an ideal gas also depends only on its temperature. This will address whether 4) is / is not true.